423
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

A numerical evaluation of Rayleigh's theory applied to scattering by randomly rough dielectric surfaces

&
Pages 79-101 | Received 18 Feb 1997, Published online: 01 Apr 2009

References

  • DeSanto , J A and Brown , G S . 1986 . Progress in Optics , Edited by: Wolf , E . 3 – 64 . Amsterdam : North-Holland .
  • Voronovich , A G . 1994 . Wave Scattering from Rough Surfaces , Berlin : Springer .
  • Ogilvy , J A . 1991 . Theory of Wave Scattering from Random Rough Surfaces , Bristol : Hilger .
  • Nieto-Vesperinas , M . 1991 . Scattering and Diffraction in Physical Optics , New York : Wiley .
  • Thorsos , E I . 1988 . The validity of the Kirchhoff approximation for rough surface scattering using a Gaussian roughness spectrum . J. Acoust. Soc. Am. , 83 : 78 – 92 .
  • Thorsos , E I and Jackson , D R . 1991 . Studies of scattering theory using numerical methods . Waves Random Media , 1 : S16S – 90 .
  • Sanchez-Gil , J A and Nieto-Vesperinas , M . 1991 . Light scattering from random rough dielectric surfaces . J. Opt. Soc. Am. , A 8 : 1270 – 86 .
  • Saillard , M and Maystre , D . 1990 . Scattering from metallic and dielectric surfaces . J. Opt. Soc. Am. , A 7 : 982 – 90 .
  • Saillard , M . 1990 . Etude théorique et numérique de la diffraction de la lumière par des surfaces rugueuses diélectriques et conductrices , Thesis Université Aix-Marseille III .
  • Maradudin , A A , Michel , T , McGum , A R and Mendez , E R . 1990 . Enhanced backscattering of light from a random grating . Ann. Phys., NY , 203 : 255 – 307 .
  • Knotts , M E , Michel , T R and O'Donnell , K A . 1993 . Comparison of theory and experiment in light scattering from a randomly rough surface . J. Opt. Soc. Am. , A 10 : 928 – 41 .
  • Mendez , E R and O'Donnell , K A . 1987 . Observation of depolarization and backscattering enhancement in light scattering from Gaussian random rough surfaces . Opt. Cammun. , 61 : 91 – 5 .
  • Kim , M J , Dainty , J C , Friberg , A T and Sant , A J . 1990 . Experimental study of enhanced backscattering from one- and two-dimensional random rough surfaces . J. Opt. Soc. Am. , A 7 : 569 – 77 .
  • O'Donnell , K A and Mendez , E R . 1987 . Experimental study of scattering from characterized random surfaces . J. Opt. Soc. Am. , A 4 : 1194 – 205 .
  • Beckmann , P and Spizzichino , A . 1963 . The Scattering of Electromagnetic Waves from Rough Surfaces , Oxford : Pergamon .
  • Toigo , F , Marvin , A , Celli , V and Hill , N R . 1977 . Optical properties of rough surfaces: general theory and the small roughness limit . Phys. Rev. , B 15 : 5618 – 26 .
  • Nieto-Vesperinas , M . 1982 . Depolarization of electromagnetic waves scattered from slightly rough random surfaces: a study by means of the extinction theorem . J. Opt. Soc. Am. , 72 : 539 – 47 .
  • Greffet , J-J . 1988 . Scattering of electromagnetic waves by rough dielectric surfaces . Phys. Rev. , B 37 : 6436 – 41 .
  • Maradudin , A A and Mills , D L . 1975 . Scattering and absorption of electromagnetic radiation by a semi-infinite medium in the presence of surface roughness . Phys. Rev. , B 11 : 1392 – 415 .
  • Tsang , L , Chan , C H and Pak , K . 1994 . Backscattering enhancement of a two-dimensional random rough surface (three dimensional scattering) based on Monte Carlo simulations . J. Opt. Soc. Am. , A 11 : 711 – 5 .
  • Pak , K , Tsang , L , Chan , C H and Johnson , J . 1995 . Backscattering enhancement of electromagnetic waves from two-dimensional perfectly conducting random rough surfaces based on Monte Carlo simulations . J. Opt. Soc. Am. , A 12 : 2491 – 9 .
  • Tran , P , Celli , V and Maradudin , A A . 1994 . Electromagnetic scattering from a two-dimensional randomly rough, perfectly conducting surface: iterative methods . J. Opt. Soc. Am. , A 11 : 1686 – 9 .
  • Macaskill , C and Kachoyan , B J . 1993 . Iterative approach for the numerical simulation of scattering from one-and two-dimensional rough surfaces . Appl. Opt. , 32 : 2839 – 47 .
  • Rayleigh , J W S . 1896 . Theory of Sound , London : Macmillan .
  • Petit , R and Cadilhac , M . 1966 . Sur la diffraction ďune onde plane par un réseau infiniment conducteur . C. R. Acad. Sci, Paris , B 262 : 468 – 71 .
  • Millar , R F . 1973 . The Rayleigh hypothesis and a related least-squares solution to scattering problems for periodic surfaces and other scatterers . Radio Sci. , 8 : 785 – 96 .
  • Maystre , D . 1984 . Progress in Optics , Edited by: Wolf , E . 37 – 67 . Amsterdam : North-Holland .
  • Tatarskii , V . 1995 . Relation between the Rayleigh equation in diffraction theory and the equation based on Green's formula . J. Opt. Soc. Am. , A 12 : 1254 – 60 .
  • Wirgin , A . 1980 . On Rayleigh's theory of sinusoidal diffraction gratings . Opt. Acta , 27 : 1671 – 92 .
  • Wirgin , A . 1983 . Scattering from sinusoidal gratings: an evaluation of the Kirchhhoff approximation . J. Opt. Soc. Am. , 1028–41 : 31
  • Petit , R. 1980 . Electromagnetic Theory of Gratings , Berlin : Springer .
  • Greffet , J-J , Baylard , C and Versaevel , P . 1992 . Diffraction of electromagnetic waves by crossed gratings: a series solution . Opt. Lett. , 17 : 1740 – 2 .
  • Michel , T . 1994 . Resonant light scattering from weakly rough random surfaces and imperfect gratings . J. Opt. Soc. Am. , A 11 : 1874 – 85 .
  • Berman , D H and Perkins , J S . 1990 . Rayleigh method for scattering from random and deterministic interfaces . J. Acoust. Soc. Am. , 88 : 2
  • Kim , M J and Stoddart , A J . 1993 . The region of validity of perturbation theory . Waves Random Media , 3 : 325 – 42 .
  • Hugonin , I P , Petit , R and Cadilhac , M . 1981 . Plane wave expansions used to describe the field diffracted by a grating . J. Opt. Soc. Am. , 71 : 593 – 8 .
  • Ikuno , H and Yasuura , K . 1973 . Improved point-matching method with applications to scattering from a periodic surface . IEEE Trans. Antennas Propag. , AP-21 : 657 – 62 .
  • Sentenac , A . 1993 . Etude de la diffusion des ondes électromagnétiques par des surfaces rugueuses. Application à la conception de surfaces sélectives , Thesis Paris : Ecole Centrale .
  • Tran , P and Celli , V . 1988 . Monte Carlo calculation of backscattering enhancement for a randomly rough grating . J. Opt. Soc. Am. , A 5 : 1635 – 7 .
  • Maystre , D . 1983 . Electromagnetic scattering from perfectly conducting rough surfaces in the resonance region . IEEE Trans. Antennas Propag. , AP-31 : 885 – 95 .
  • Sheridan , J T and Sheppard , C J R . 1990 . An examination of the theories for the calculation of diffraction by square wave gratings: I. Thickness and period variations for normal incidence . Optik , 85 : 25 – 32 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.